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Finding the Third Proportional to 434,022 and 950,796

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Solution

The third proportional to 434,022 and 950,796 is: 2,082,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,022 : 950,796 = 950,796 : x
  2. Step 2: Convert to fraction form
    434,022/950,796 = 950,796/x
  3. Step 3: Cross multiply
    434,022x = 950,796 × 950,796
  4. Step 4: Simplify right side
    434,022x = 904,013,033,616
  5. Step 5: Solve for x
    x = 904,013,033,616/434,022
  6. Step 6: Final answer
    x = 2,082,873.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.